Santiago G'omez Cobos

activity

20242026

collaborators

4 papers

math.AP2026

Boundedness of spectral multipliers on locally compact groups and applications

Santiago GÃ³mez Cobos, Joel E. Restrepo, Michael Ruzhansky

We prove that the noncommutative Lorentz norm (associated to a semifinite von Neumann algebra) of a propagator of the form $I ¨ (∣ L ∣)$ can be estimated if the modulus of th…

math.AP2025

Functional calculus for Safarov pseudo-differential operators

Santiago GÃ³mez Cobos, Michael Ruzhansky

Given a smooth, closed Riemannian manifold $(M, g)$ equipped with a linear connection $\nabla$ (not necessarily metric), we develop the holomorphic functional calculus for operators…

math.AP2024

Evolutionary integro-differential equations of scalar type on locally compact groups

Santiago GÃ³mez Cobos, Joel E. Restrepo, Michael Ruzhansky

We study existence, uniqueness, norm estimates and asymptotic time behaviour (in some cases can be claimed to be sharp) for the solution of a general evolutionary integral (differe…

math.AP2024

$L^{p} - L^{q}$ estimates for non-local heat and wave type equations on locally compact groups

Santiago GÃ³mez Cobos, Joel E. Restrepo, Michael Ruzhansky

We prove the $L^{p} - L^{q}$ $(1 < p ⩽ 2 ⩽ q < + \infty)$ norm estimates for the solutions of heat and wave type equations on a locally compact separable unimodular group $G$ by…

Boundedness of spectral multipliers on locally compact groups and applications

Functional calculus for Safarov pseudo-differential operators

Evolutionary integro-differential equations of scalar type on locally compact groups

Lp−Lq estimates for non-local heat and wave type equations on locally compact groups

$L^{p} - L^{q}$ estimates for non-local heat and wave type equations on locally compact groups